Stability for A Linear Time-invariant System with Time-periodic Inputs and Its Application

被引：0

作者：

Wang Yuming ^{[1
]}

Li Hong-yan ^{[1
]}

Wu Zhong ^{[1
]}

机构：

[1] Shanghai Univ Engn Sci, Sch Management Studies, Shanghai 201620, Peoples R China

来源：

2008 4TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS, NETWORKING AND MOBILE COMPUTING, VOLS 1-31 | 2008年

关键词：

D O I：

暂无

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

This paper researches a base for a judgment of stability control for a class of linear time-invariant systems with time-periodic inputs. By dynamic theory and methods, it is proved that in certain parameter region, for arbitrary time-periodic input, the system has a unique periodic solution attracting any bounded set exponentially. As an application, stability for a model of the forest with seasonal effects is studied.

引用

页码：13061 / 13062

页数：2

共 50 条

[1] Linear Time-Invariant Approximations of Nonlinear Time-Periodic Systems
Saetti, Umberto
Horn, Joseph F.
JOURNAL OF THE AMERICAN HELICOPTER SOCIETY, 2023, 68 (01)
[2] Measurement of the best linear time-invariant approximation of linear time-periodic systems
Louarroudi, E.
Pintelon, R.
Lataire, J.
PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2014) AND INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2014), 2014, : 3249 - 3263
[3] RESPONSE OF LINEAR TIME-INVARIANT SYSTEMS DUE TO PERIODIC INPUTS
LIOU, ML
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1967, 55 (02): : 242 - &
[4] Accurate frequency domain measurement of the best linear time-invariant approximation of linear time-periodic systems including the quantification of the time-periodic distortions
Louarroudi, E.
Pintelon, R.
Lataire, J.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2014, 48 (1-2) : 274 - 299
[5] Modeling and Stability Assessment of Single-Phase Grid Synchronization Techniques: Linear Time-Periodic Versus Linear Time-Invariant Frameworks
Golestan, Saeed
Guerrero, Josep M.
Vasquez, Juan C.
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2019, 34 (01) : 20 - 27
[6] Construction of dynamically equivalent time-invariant forms for time-periodic systems
Sinha, SC
Butcher, EA
David, A
NONLINEAR DYNAMICS, 1998, 16 (03) : 203 - 221
[7] Construction of Dynamically Equivalent Time-Invariant Forms for Time-Periodic Systems
S. C. Sinha
E. A. Butcher
A. Dávid
Nonlinear Dynamics, 1998, 16 : 203 - 221
[8] STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
THATHACHAR, MA
SRINATH, MD
NARENDRA, KS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (03) : 335 - +
[9] STABILITY OF LINEAR TIME-INVARIANT SYSTEMS
DESOER, CA
WU, MY
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1968, CT15 (03): : 245 - +
[10] STABILITY THEORY FOR LINEAR TIME-INVARIANT PLANTS WITH PERIODIC DIGITAL CONTROLLERS
FRANCIS, BA
GEORGIOU, TT
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (09) : 820 - 832

← 1 2 3 4 5 →